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Finding the Third Proportional to 65,836.13 and 101,715.75

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Solution

The third proportional to 65,836.13 and 101,715.75 is: 157,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,836.13 : 101,715.75 = 101,715.75 : x
  2. Step 2: Convert to fraction form
    65,836.13/101,715.75 = 101,715.75/x
  3. Step 3: Cross multiply
    65,836.13x = 101,715.75 × 101,715.75
  4. Step 4: Simplify right side
    65,836.13x = 10,346,093,798.06
  5. Step 5: Solve for x
    x = 10,346,093,798.06/65,836.13
  6. Step 6: Final answer
    x = 157,149.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.